Finding the Third Proportional to 38,942 and 59,182

Step by Step Solution

1. Step 1: Write the proportion equation
   38,942 : 59,182 = 59,182 : x
2. Step 2: Convert to fraction form
   38,942/59,182 = 59,182/x
3. Step 3: Cross multiply
   38,942x = 59,182 × 59,182
4. Step 4: Simplify right side
   38,942x = 3,502,509,124
5. Step 5: Solve for x
   x = 3,502,509,124/38,942
6. Step 6: Final answer
   x = 89,941.69